3936632832 has 240 divisors, whose sum is σ = 12739809600. Its totient is φ = 1191444480.

The previous prime is 3936632807. The next prime is 3936632837. The reversal of 3936632832 is 2382366393.

3936632832 is a `hidden beast` number, since 3 + 9 + 3 + 6 + 632 + 8 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3936632837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4865644 + ... + 4866452.

It is an arithmetic number, because the mean of its divisors is an integer number (53082540).

Almost surely, 2^3936632832 is an apocalyptic number.

3936632832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3936632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369904800).

3936632832 is an abundant number, since it is smaller than the sum of its proper divisors (8803176768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3936632832 is an equidigital number, since it uses as much as digits as its factorization.

3936632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 825 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 3936632832 is about 62742.5918495562. The cubic root of 3936632832 is about 1578.9739682593.

It can be divided in two parts, 393663 and 2832, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 3936632832 in words is "three billion, nine hundred thirty-six million, six hundred thirty-two thousand, eight hundred thirty-two".